We have developed a numerically exact approach to
compute real-time path integral expressions for
quantum transport problems out of equilibrium [1].
The scheme is based on a deterministic iterative summation of
the path integral (ISPI) for the generating
function of the nonequilibrium current.
Self-energies due to the leads, being non-local in time,
are fully taken into account within a finite memory time,
thereby including non-Markovian effects, and numerical results are
extrapolated both to vanishing (Trotter) time discretization
and to infinite memory time. The method is applied to
nonequilibrium transport through an Anderson dot.
[1] S. Weiss, J. Eckel, M. Thorwart, R. Egger, arXiv:0802.3374 |